This paper focuses on the importance of identifying students' Prior Knowledge (PK) for the teaching and learning of mathematics. Specifically, we present a framework that exemplifies the core elements teachers need to consider in relation to the purpose, design and implementation of learning experiences that enable PK to be activated and assessed.…

This article argues that the best way to increase inquiry-based instruction is paradoxically to pay more attention to direct instruction because excessive attention to practices like close reading of texts and facilitating text-based discussions has led to neglect of content knowledge explanation as a core instructional practice. This article…

How people learn in and through participation in work that is mediated by higher education (h.e.) has been a topic for research and discussion for some time. While this area has supported great strides in social mobility and inclusion, how this h.e. area of practice relates more specifically to Equity, Diversity and Inclusion (EDI) has taken on…

David Stephens, a 4th grade teacher in Washington State, was preparing a lesson plan about desert wildlife (all names are pseudonyms). He was planning on assigning his students the chapter book, "Desert Giant: The World of the Saguaro Cactus." The students had divergent knowledge about the topic. For example, Maryam had grown up in…

Capitalizing on cognitive load theory and learning by analogy, we propose two instructional methods to learn a complex linear equation (e.g. two-step equation) by building on prior knowledge of a simpler linear equation (e.g. one-step equation). We will examine the proposal theoretically in this paper. In line with the design principles of…

Problem solving followed by explicit instruction, as suggested by productive failure and several other instructional theories, indicates long-term learning benefits, whereas explicit instruction followed by problem solving has been consistently demonstrated as superior within the framework of cognitive load theory. However, the effectiveness of…

Epidemiological models have enhanced relevance because of the COVID-19 pandemic. In this note, we emphasize visual tools that can be part of a learning module geared to teaching the SIR epidemiological model, suitable for advanced undergraduates or beginning graduate students in disciplines where the level of prior mathematical knowledge of…

This article synthesizes literatures relating to the fields of andragogy and prison education. It is a key moment to reflect on teaching practices inside carceral settings. As Pell Grant availability for incarcerated students is set to expand dramatically, many college and university faculty are soon likely to be entering prisons as instructors…

The Compulsory Education Course Standards for Mathematics 2022 have highlighted the educational objectives of junior secondary mathematics by emphasizing the development of mathematical competence and practical learning. Model consciousness, as one of the fundamental mathematical competencies to be developed at the junior secondary level, can…

This article provides an organizational review of content literacy instructional strategies to forward a claim that some strategies work better for surface learning, whereas others are more effective for deep learning and still others for transfer learning. The authors argue that the failure to adopt content literacy strategies by disciplinary…

Analogies between old and new concepts are common during classroom instruction. Previous transfer studies focused on how features of initial learning guide later, spontaneous transfer to new problem solving. We argue for a shift in the focus of analogical-transfer research toward understanding how to best support analogical transfer from previous…

Jim Greer and his colleagues argued that student modelling is essential to provide adaptive instruction in tutoring systems and showed that effective modelling is possible, despite being enormously challenging. Student modelling plays a prominent role in many intelligent tutoring systems (ITSs) that address problem-solving domains. However,…

The English pre-class language, as one of the educational languages, has a direct impact on realization of the objectives of a class. This paper gives a detailed analysis of the value of the English pre-class language, its related theoretical proof as well as its main characteristics, which proves the significance of the pre-class language.

Existing frameworks of teachers' knowledge required to teach mathematics do not adequately capture the dynamic aspects of knowledge manifested in teaching practice. In this paper, we examine the knowledge demands that arise in situ, in the course of a teacher listening and responding to students' thinking, while teaching the topic of decimal…

The segmenting effect states that people learn better when multimedia instructions are presented in (meaningful and coherent) learner-paced segments, rather than as continuous units. This meta-analysis contains 56 investigations including 88 pairwise comparisons and reveals a significant segmenting effect with small to medium effects for retention…